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Papers and Preprints

1. M.J. Colbrook, A. Horning, and T. Xie, “Computing generalized eigenfunctions in rigged Hilbert spaces.” Submitted 2024.
2. A Horning and A.R. Gerlach, “A family of high-order accurate contour integral methods for strongly continuous semigroups.” Submitted 2024.
3. M.J. Colbrook, C. Drysdale, and A. Horning, “Rigged Dynamic Mode Decomposition: Data-Driven Generalized Eigenfunction Decompositions for Koopman Operators.” Submitted 2024.
4. J. Zvonek, A. Horning, and A. Townsend, “ContHutch++: Stochastic trace estimation for implicit integral operators.” To appear in SIAM Journal on Numerical Analysis.
5. M.J. Colbrook, A. Horning, K. Thicke, and A.B. Watson, “Computing spectral properties of topological insulators without artificial truncation or supercell approximation.” IMA Journal of Applied Mathematics 88.1 (2023): 1-42.
6. A. Horning and Y. Nakatsukasa, “Twice is enough for dangerous eigenvalues.” SIAM Journal on Matrix Analysis and Applications 43.1 (2022): 68-93.
7. M.J. Colbrook, A. Horning, and A. Townsend, “Computing spectral measures of self-adjoint operators.” SIAM Review 63.3 (2021): 489-524. SIAM Activity Group on CSE Best Paper Prize
8. A. Horning, and A. Townsend, “FEAST for differential eigenvalue problems.” SIAM Journal on Numerical Analysis 58.2 (2020): 1239-1262.
9. Y.P. Timalsina, et al. “Effects of nanoscale surface roughness on the resistivity of ultrathin epitaxial copper films.” Nanotechnology 26.7 (2015): 075704.
10. C. Daniels, et al. “Elastic, plastic, and fracture mechanisms in graphene materials.” Journal of Physics: Condensed Matter 27.37 (2015): 373002.

Conference Proceedings (Peer-Reviewed)

1. M.J. Colbrook and A. Horning, “SpecSolve: Spectral methods for spectral measures” ICOSAHOM 2020+1. Lecture Notes in Computational Science and Engineering, Springer vol. 137 (2023).
2. A. Horning, R. Morgan, and E. Nielson, “Minimum number of observations for exoplanet orbit determination.” Techniques and Instrumentation for Detection of Exoplanets IX. 4. Vol. 11117. SPIE (2018).